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Finding the Third Proportional to 156,545 and 335,227

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Solution

The third proportional to 156,545 and 335,227 is: 717,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,545 : 335,227 = 335,227 : x
  2. Step 2: Convert to fraction form
    156,545/335,227 = 335,227/x
  3. Step 3: Cross multiply
    156,545x = 335,227 × 335,227
  4. Step 4: Simplify right side
    156,545x = 112,377,141,529
  5. Step 5: Solve for x
    x = 112,377,141,529/156,545
  6. Step 6: Final answer
    x = 717,858.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.